國立虎尾科技大學 |

Linear and projective representations of symmetric groups /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Linear and projective representations of symmetric groups // Alexander Kleshchev.
remainder title:	Linear & Projective Representations of Symmetric Groups
Author:	Kleshchëv, A. S.
Description:	1 online resource (xiv, 277 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Symmetry groups. -
Online resource:	https://doi.org/10.1017/CBO9780511542800
ISBN:	9780511542800 (ebook)

Linear and projective representations of symmetric groups /
Kleshchëv, A. S.

Linear and projective representations of symmetric groups /Linear & Projective Representations of Symmetric GroupsAlexander Kleshchev. - 1 online resource (xiv, 277 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;163. - Cambridge tracts in mathematics ;203..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Notation and generalities --1.

The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own. Much of this work has previously appeared only in the research literature. However to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. For the sake of transparency, Kleshchev concentrates on symmetric and spin-symmetric groups, though methods he develops are quite general and apply to a number of related objects. In sum, this unique book will be welcomed by graduate students and researchers as a modern account of the subject.

ISBN: 9780511542800 (ebook)Subjects--Topical Terms:

527839
Symmetry groups.

LC Class. No.: QA176 / .K56 2005

Dewey Class. No.: 512.5

Linear and projective representations of symmetric groups /
LDR:03125nam a2200325 i 4500 001 1126894
003 UkCbUP
005 20160422115600.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 240926s2005||||enk o ||1 0|eng|d
020 $a 9780511542800 (ebook)
020 $z 9780521837033 (hardback)
020 $z 9781107471641 (paperback)
035 $a CR9780511542800
040 $a UkCbUP $b eng $e rda $c UkCbUP
050 0 0 $a QA176 $b .K56 2005
082 0 4 $a 512.5 $2 22
100 1 $a Kleshchëv, A. S. $q (Aleksandr Sergeevich), $e author. $3 1445957
245 1 0 $a Linear and projective representations of symmetric groups / $c Alexander Kleshchev.
246 3 $a Linear & Projective Representations of Symmetric Groups
264 1 $a Cambridge : $b Cambridge University Press, $c 2005.
300 $a 1 online resource (xiv, 277 pages) : $b digital, PDF file(s).
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
490 1 $a Cambridge tracts in mathematics ; $v 163
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 $g 1. $t Notation and generalities -- $g 2. $t Symmetric groups I -- $g 3. $t Degenerate affine Hecke algebra -- $g 4. $t First results on H[subscript n]-modules -- $g 5. $t Crystal operators -- $g 6. $t Character calculations -- $g 7. $t Integral representations and cyclotomic Hecke algebras -- $g 8. $t Functors e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]] -- $g 9. $t Construction of U[subscript z][superscript +] and irreducible modules -- $g 10. $t Identification of the crystal -- $g 11. $t Symmetric groups II -- $g 12. $t Generalities on superalgebra -- $g 13. $t Sergeev superalgebras -- $g 14. $t Affine Sergeev superalgebras -- $g 15. $t Integral representations and cyclotomic Sergeev algebras -- $g 16. $t First results on X[subscript n]-modules -- $g 17. $t Crystal operators for X[subscript n] -- $g 18. $t Character calculations for X[subscript n] -- $g 19. $t Operators e[subscript i][superscript [lambda]] and f[subscript i][superscript [lambda]] -- $g 20. $t Construction of U[subscript z][superscript +] and irreducible modules -- $g 21. $t Identification of the crystal -- $g 22. $t Double covers.
520 $a The representation theory of symmetric groups is one of the most beautiful, popular and important parts of algebra, with many deep relations to other areas of mathematics such as combinatories, Lie theory and algebraic geometry. Kleshchev describes a new approach to the subject, based on the recent work of Lascoux, Leclerc, Thibon, Ariki, Grojnowski and Brundan, as well as his own. Much of this work has previously appeared only in the research literature. However to make it accessible to graduate students, the theory is developed from scratch, the only prerequisite being a standard course in abstract algebra. For the sake of transparency, Kleshchev concentrates on symmetric and spin-symmetric groups, though methods he develops are quite general and apply to a number of related objects. In sum, this unique book will be welcomed by graduate students and researchers as a modern account of the subject.
650 0 $a Symmetry groups. $3 527839
650 0 $a Representations of groups. $3 672181
650 0 $a Modular representations of groups. $3 907670
650 0 $a Hecke algebras. $3 788111
650 0 $a Superalgebras. $3 672284
650 0 $a Linear algebraic groups. $3 672180
650 0 $a Algebras, Linear. $3 528115
650 0 $a Geometry, Projective. $3 672454
776 0 8 $i Print version: $z 9780521837033
830 0 $a Cambridge tracts in mathematics ; $v 203. $3 1238301
856 4 0 $u https://doi.org/10.1017/CBO9780511542800